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Finding the Third Proportional to 166,762.13 and 364,663.69

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Solution

The third proportional to 166,762.13 and 364,663.69 is: 797,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,762.13 : 364,663.69 = 364,663.69 : x
  2. Step 2: Convert to fraction form
    166,762.13/364,663.69 = 364,663.69/x
  3. Step 3: Cross multiply
    166,762.13x = 364,663.69 × 364,663.69
  4. Step 4: Simplify right side
    166,762.13x = 132,979,604,981.10
  5. Step 5: Solve for x
    x = 132,979,604,981.10/166,762.13
  6. Step 6: Final answer
    x = 797,420.91

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.